Numerical Simulation of the Dynamic Frictional Contact Problem for Crack Slip Based on the Multidimensional Space Method

Abstract

The extended finite-element method (XFEM) was proposed to simulate the problem of crack growth without any remeshing. In this paper, the penalty function method is introduced to deal with the contact constraints, and the trial-and-error method is employed to investigate the converged contact state. The monitoring points seed on the interface to detect the contact states of the cracks and to interpolate the displacement of the grid node. The formulations of the dynamic frictional contact problem for crack slip are established based on the multidimensional space method. In this proposed method, the implicit Newmark time integration scheme is applied to deal with the problems of dynamic frictional contact. Moreover, a numerical case is illustrated to verify the precision and robustness of the proposed method. It is found that the numerical results obtained from proposed method agree well with those obtained from the standard finite-element method.